IF x / 4 = 12
so x = 3
is this correct

The function has a minimum of -4.35125

From the question, the equation of tis given as

f(x)=2x^2-9.1x+6

Rewrite the function as follows

f(x) = 2x² -9.1x + 6

Next, we differentiate the function

This is represented as

f'(x) = 2 * 2x - 1 * 9.1 + 0 * 6

Evaluate

f'(x) = 4x - 9.1

Set the differentiated function to 0

This is represented as

f'(x) = 0

So, we have

4x - 9.1 = 0

This gives

4x = 9.1

Divide by 4

x = 2.275

Substitute x = 2.275  in f(x) = 2x² -9.1x + 6

f(2.275) = 2(2.275)² - 9.1(2.275) + 6

Evaluate

f(2.275) = -4.35125

Hence, the minimum is -4.35125

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Answer:

33

Step-by-step explanation:

275*12 /100 =33

have a nice day!!

Answer:

33 love

Step-by-step explanation:

Answer:

Option 4, bottom right

Step-by-step explanation:

Looking the the y-intercept, it can only be option 2 or 4 with a y-intercept of 3. Looking at the data you can see that the slope is decreasing, therefore out of the 2 the answer is the one with the decreasing/negative slope.

Answer:

It would be the 4th option, y=-1/2x+3

Step-by-step explanation:

The y is going down gradually, so it must be negative. The y also starts at 3 when the x gets to zero, making the y intercept +3.

Answer:

x^2 +2 quadratic

1/3x + 3 linear

The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.

Transformations of the identity function f(x)=x f (x) = x are the third option.

There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.

Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.

The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).

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Answer:

7 \(\frac{5}{8}\)

Step-by-step explanation:

4 \(\frac{1}{4}\) + 3\(\frac{3}{8}\)  we need a common denominator and that would be 8

4 \(\frac{1}{4}\) = 4\(\frac{2}{8}\)  (\(\frac{1}{4}\) x \(\frac{2}{2}\) makes the equivalent fraction \(\frac{2}{8}\))

4\(\frac{2}{8}\) + 3\(\frac{3}{8}\) = 7\(\frac{5}{8}\)

Answer:

The probability that the second child will have the disease depends on whether the parents have one or two copies of the recessive disease-causing allele. Since both parents are heterozygous carriers, they each have one copy of the disease-causing allele and one normal allele.

When they have a child, each parent randomly passes one allele to their offspring. There are four possible allele combinations that can result in the child inheriting the disease:

The child inherits the disease-causing allele from both parents (homozygous recessive)

The child inherits one disease-causing allele from one parent and one normal allele from the other parent (heterozygous carrier)

The child inherits the normal allele from both parents (homozygous dominant)

The probability of each of these combinations depends on the probabilities of the parents passing on each of their alleles. Since the parents are each heterozygous carriers, there is a 25% chance that they will both pass on the disease-causing allele, a 50% chance that they will each pass on one disease-causing allele, and a 25% chance that they will both pass on the normal allele.

Therefore, the probability that the second child will have the disease is 25%.

I gotchu

a. 0.935 (3.8% of 25)

b. 0.1 (0.2% of 50)

c. 178.95 (180.5% of 99)

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question \#1.}\)

\(\mathsf{3.8\% \ of\ 25}}\\\\\mathsf{= 3.8\% \times 25}\\\\\mathsf{= \dfrac{3.8}{100}\times25}\\\\\mathsf{= \dfrac{3.8}{100}\times \dfrac{25}{1}}\\\\\mathsf{= \dfrac{3.8\times25}{100\times1}}\\\\\mathsf{= \dfrac{95}{100}}\\\\\mathsf{= 0.95}\\\\\huge\text{Therefore question \#1. answer is:}\\\huge\boxed{\mathsf{0.95}}\huge\checkmark\)

\(\huge\textbf{Question \#2.}\)

\(\mathsf{0.2\% \ of \ 50}\\\\\mathsf{= 0.2\% \times 50}\\\\\mathsf{= \dfrac{0.2}{100}\times50}\\\\\mathsf{= \dfrac{0.2}{100}\times \dfrac{50}{1}}\\\\\mathsf{= \dfrac{0.2\times50}{100\times1}}\\\\\mathsf{= \dfrac{10}{100}}\\\\\mathsf{= 0.10}\\\\\huge\text{Therefore question \#2. answer is:}\\\huge\boxed{\mathsf{0.10}}\huge\checkmark\)

\(\huge\textbf{Question \#3.}\)

\(\mathsf{180.5\% \ of\ 99}\\\\\mathsf{= 180.5\% \times 99}\\\\\mathsf{= \dfrac{180.5}{100}\times 99}\\\\\mathsf{= \dfrac{180.5}{100}\times\dfrac{99}{1}}\\\\\mathsf{= \dfrac{180.5\times99}{100\times1}}\\\\\mathsf{= \dfrac{17,869.5}{100}}\\\\\mathsf{= 178.695}\\\\\huge\text{Therefore question \#3. answer is:}\\\huge\boxed{\mathsf{178.695}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

To add or subtract given  mixed numbers with different denominators we have a few steps to follow:

first, we have to convert the mixed numbers into improper fractions, and then find the common multiple of both denominators.

Next, convert the fractions as common denominators, and solve the fractions, convert the fraction as mixed numbers.

There is another method to add and subtract the mixed numbers:

first, find the Lowest Common Multiple between the denominators, and multiply the numerator and denominator of each fraction by a number so that they have the LCM as their new denominator.

next, add or subtract the numerators and keep the denominator the same.

finally, if the answer is an improper form, reduce the fraction into a mixed number

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We will repeat the exact same procedure. Something may have gone wrong.                                                                                                    

The special theory of relativity by German-born scientist Albert Einstein contains the equation \(E=mc^{2}\), which conveys the idea that mass and energy are one and the same physical substance and may be transformed into one another. The kinetic energy (E) of a body is equal to its increased relativistic mass (m) multiplied by the square root of the speed of light.

Because the mass and the speed of light are both constants, we are unable to test a new variable. Since our findings don't match the accepted formula, we cannot share them.

The result obtained is wrong we cannot apply it to another experiment. The only way we can find the correct result is by repeating the experiment. Because something may have gone wrong on the first attempt.

Therefore, the correct answer is

d) Repeat the exact same procedure.  

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The correct question is: Suppose you conduct one experiment and find that the \(E=mc^{3}\), rather than the historically accepted formula, \(E=mc^{2}\). What should you do next?

a.Test a new variable

b.Share your findings

c.Apply your results to a new experiment

d.Repeat the exact same procedure                                                                                                                                                                                                                                                                                                                                                                                      

The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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The equation of the following graph in vertex form is y = (x + 1)².  This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.

The equation of a quadratic function in vertex form. The vertex form of a quadratic function is given by the equation:

y = a(x - h)² + k

In this equation, (h, k) represents the vertex of the parabola, and 'a' determines the direction and shape of the parabola. The points given are (0, 1), (-1, 0), and the term (x + 1)² is also mentioned.

Using these details, the vertex of the parabola can be identified as (-1, 0), since the term (x + 1)² is present, which corresponds to h = -1. The point (0, 1) can be used to determine the value of 'a'. Plugging in the coordinates (0, 1) into the vertex form equation:

1 = a(0 - (-1))² + 0

1 = a(1²)

a = 1

With these values, the equation of the graph in vertex form is:

y = (x + 1)²

This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.

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The radius of the cylinder is 7 inches.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

\(\[ V = \pi r^2 h \]\)

where V is the volume, r is the radius, and h is the height.

In this case, we are given that the volume of the cylinder is 980π cubic inches and the height is 20 inches. Plugging in these values into the formula, we get:

\(\[ 980\pi = \pi r^2 \cdot 20 \]\)

Simplifying the equation, we can divide both sides by π:

\(\[ 980 = 20r^2 \]\)

Dividing both sides by 20 gives us:

\(\[ 49 = r^2 \]\)

To solve for r, we take the square root of both sides:

\(\[ r = \sqrt{49} = 7 \]\)

Therefore, the radius of the cylinder is 7 inches.

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The cost of 12 burgers and 12 hotdogs is $480

To calculate the cost of 12 burgers and 12 hotdogs:

The expression 30b + 10h, where "b" represents the number of burgers and "h" represents the number of hotdogs.

This expression will give us the cost of the burgers and hotdogs when combined.

To find the cost of 12 burgers and 12 hotdogs. We need to substitute the values of "b" and "h" with 12 in the given expression.

The expression 30b + 10h represents the cost calculation based on the number of burgers and hotdogs purchased. The coefficient 30 indicates that each burger costs $30, and the coefficient 10 represents that each hotdog costs $10.

By multiplying the number of burgers and hotdogs by their respective costs and adding them together, we can determine the total cost when combined.

Substituting the values:

Cost = 30(12) + 10(12)

Cost = 360 + 120

Cost = 480

Therefore, the cost of 12 burgers and 12 hotdogs is $480.

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Answer:

da answer of da number iz 17

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Answer:

4 and 15

Step-by-step explanation:

The solution to the equation is x = 4/15

It is important to note that algebraic expressions are described as expressions that are made up of variables, constants, factors and coefficients.

From the information given, we have that;

√4 - 3x/√3x = 2

cross multiply the values, we have;

√4 - 3x = 2√3x

Now, find the square root of both sides, we have;

4 - 3x = 4(3x)

expand the bracket, we have;

4-3x = 12x

collect the like terms

12x + 3x = 4

add the values

15x = 4

Make 'x' subject

x = 4/15

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Three different vectors are [-8, 14],  [-6, 16], and [15, -18].

To find three different vectors that are in the span of the given vectors \(u_1\) = [-3, 8] and \(u_2\) = [-5, 6], we can use linear combinations of these vectors.

Let's call the three different vectors \(v_1\), \(v_2\), and \(v_3\). We can express them as follows:

\(v_1\) = \(u_1\) + \(u_2\) = [-3, 8] + [-5, 6] = [-3 + (-5), 8 + 6] = [-8, 14]

\(v_2\) = 2\(u_1\) = 2[-3, 8] = [-6, 16]

\(v_3\) = -3\(u_2\) = -3[-5, 6] = [15, -18]

Therefore, three different vectors that are in the span of \(u_1\) and \(u_2\) are \(v_1\) = [-8, 14], \(v_2\) = [-6, 16], and \(v_3\) = [15, -18].

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Answer:

112.72

explaination:

Answer:

C the answer is C

Step-by-step explanation:

The length of the third side of the triangle in terms of x is √[9 + (x + 7)^2]

The complete question is added as an attachment

Next, we apply the following Pythagoras theorem.

This is represented as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

So, we have:

Hypotenuse^2 = 3^2 + (x + 7)^2

This gives

Hypotenuse^2 = 9 + (x + 7)^2

Take the square roots

Hypotenuse = √[9 + (x + 7)^2]

Hence, the length of the third side of the triangle in terms of x is √[9 + (x + 7)^2]

The three main inverse trig functions are

cot(theta), cosec(theta) and sec(theta)

Using the formulas, we have:

cot(theta) = 3/[x + 7]

cosec(theta) = √[9 + (x + 7)^2]/[x + 7]

sec(theta) = √[9 + (x + 7)^2]/3

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Answer:

  C.  14 inches

Step-by-step explanation:

The perimeter is double the sum of length and width:

  P = 2((4a +3) +(6b -2) = 8a +12b +2

For the given values, this is ...

  P = 8(0.75) +12(0.50) +2 = 6 + 6 + 2 = 14

The perimeter is 14 inches.

Answer:

C. 14 inches

Step-by-step explanation:

By setting the warning set point to 660 lbs and the fault set point to 680 lbs, you can ensure that the scale will trigger a warning when the gas is 80% gone and a fault when the gas is 90% gone, based on the weights of the cylinder.

To determine the set points for the warning and fault values on the scale, we need to calculate the weights corresponding to 80% and 90% of the total gas in the cylinder.

Given that the cylinder weighs 500 lbs when empty and 700 lbs when full, the total weight of the gas in the cylinder is:

Total Gas Weight = Full Weight - Empty Weight

                = 700 lbs - 500 lbs

                = 200 lbs

To find the warning set point, which corresponds to 80% of the total gas, we calculate:

Warning Set Point = Empty Weight + (0.8 * Total Gas Weight)

                 = 500 lbs + (0.8 * 200 lbs)

                 = 500 lbs + 160 lbs

                 = 660 lbs

Therefore, the warning set point on the scale should be set to 660 lbs.

Similarly, to find the fault set point, which corresponds to 90% of the total gas, we calculate:

Fault Set Point = Empty Weight + (0.9 * Total Gas Weight)

               = 500 lbs + (0.9 * 200 lbs)

               = 500 lbs + 180 lbs

               = 680 lbs

Therefore, the fault set point on the scale should be set to 680 lbs.

By setting the warning set point to 660 lbs and the fault set point to 680 lbs, you can ensure that the scale will trigger a warning when the gas is 80% gone and a fault when the gas is 90% gone, based on the weights of the cylinder.

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Answer:

Solution given:For A

height [h]=9units

breadth[b]=9units

for both cylinder and cone

Volume of container A=volume of cylinder -volume of cone

=πr²h-1/3×πr²h=π(9²)9-1/3×(9²)9

so first option is your answer.

a. π(92)(9) − 1 over 3π(92)(9)

In this case, the constant of proportionality is the speed at which you walk, which is 2.5 miles per hour.

Identifying the constant of proportionality is an important skill in 7th grade math. To do this, you need to look for a verbal description of the proportional relationship. This might be something like "If you buy 2 bags of chips, the cost is $4. If you buy 4 bags of chips, the cost is $8." In this example, the constant of proportionality is the cost per bag of chips, which is $2.

To find the constant of proportionality, you need to divide the second quantity by the first quantity. In the example above, you would divide the cost by the number of bags of chips. This gives you the cost per bag, which is the constant of proportionality.

Practice identifying the constant of proportionality by looking for relationships that involve two quantities that are proportional to each other. Keep in mind that the constant of proportionality is always the same, no matter what the quantities are. So, if you see a relationship like "If you walk 5 miles, it takes you 2 hours. If you walk 10 miles, it takes you 4 hours," the constant of proportionality is still the same, even though the quantities are different. In this case, the constant of proportionality is the speed at which you walk, which is 2.5 miles per hour.

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Answer:

A is true

B is false

C is true

D is true

E is false

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:hope this helps

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Answer:

6,008.3

Step-by-step explanation:

\(V=\pi r^{2} h\\V=\pi 7.5^{2} 34\)

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

Therefore, the inverse function of f, restricted to the domain (-∞, ∞), is:

\(f^(-1)(x) = √x - 8\).

To find the domain on which the function f(x) = (x + 8)² is one-to-one and non-decreasing, we need to consider its behavior.

Since f(x) = (x + 8)², the function is a parabola that opens upwards. This means that as x increases, f(x) also increases. Therefore, the function is non-decreasing over its entire domain (-∞, ∞).

To find the domain on which the function is one-to-one, we look for intervals where the function is strictly increasing or strictly decreasing. Since the function is always increasing, it is one-to-one over its entire domain (-∞, ∞).

Now, let's find the inverse of f restricted to the domain (-∞, ∞).

To find the inverse function, we can swap the roles of x and y and solve for y.

\(x = (y + 8)²\)

Taking the square root of both sides:

\(√x = y + 8\)

Subtracting 8 from both sides:

\(√x - 8 = y\)

Therefore, the inverse function of f, restricted to the domain (-∞, ∞), is:

\(f^(-1)(x) = √x - 8.\)

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